MATHEMATICS HIGH SCHOOL

A lab is growing bacteria in a culture dish. The amount of bacteria in the dish doubles every 3 hours. Initially, there are 500 bacteria in the dish. How many are in the dish after 9 hours A. 4,500 B. 4,000 C. 1,500 D. 13,500

Answers

Answer 1
Answer:

Answer: B. 4,000

Step-by-step explanation:

Given: The initial amount of bacteria in the dish A= 500

Since, The amount of bacteria in the dish doubles every 3 hours.

The multiplicative rate of change after every 3 hours = 2

Time period = 3 hours

By exponential function, we have the amount of bacteria after time period 'x' is given by :-

y=Ab^x,  where A is the initial amount , b is the multiplicative rate of change in time period x.

Number of 3 hours period in 9 hours = 3

Therefore, x=3

Therefore, the amount of bacteria in the dish after 9 hours is given by :_

y=500(2)^3=500*8=4000
Answer 2
Answer: d- 500*3
 *3
 *3 =  13500

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What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power?

Answers

the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power = 1

Help please I will mark brainliest!

Answers

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Answer:

multiply 8 x 4=22

A law firm charges $100 per hour for the first 3 hours plus a $300 organization fee for its services. show work.

Answers

I believe it would be 100 * 3 + 300 = 600. But there isn't too much information to understand what you're asking.
Hope I helped anyways! :)

Solve the following
2(x+3) = x-4

Answers

Answer:

x= -10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-x. -x

x+6=-4

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x=-10

What property does the statement show? ( 4 x 8 ) x 3 = ( 4 x 4 ) x 3

Answers

Answer: Associative property of multiplication.

Step-by-step explanation:

The property demonstrated by the statement "(4 x 8) x 3 = (4 x 4) x 3" is the associative property of multiplication.

The associative property of multiplication states that you can change the grouping of numbers in a multiplication expression without changing the result. In this case, both sides of the equation involve multiplication, and the numbers being multiplied are grouped differently but still yield the same result.
commutative property of multiplication
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